{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "76f43040",
   "metadata": {},
   "source": [
    "# Toy River Flow Forecasting Problem\n",
    "\n",
    "In this notebook we'll create a toy river flow forecasting problem.\n",
    "\n",
    "We assume that the river instantaneous flow at time $t$ is mainly driven by two factors:\n",
    "* The melting rate of an upstream glacier $t-5$ days ago.\n",
    "* The rainfalls during the last $5$ days.\n",
    "\n",
    "We want to forecast the flow $10$ days in advance.\n",
    "\n",
    "Furthermore, we assume that:\n",
    "* The glacier's melting rate is not known in advance because it has to be measured; it is thus a *past covariate*.\n",
    "* The rainfall is known $10$ time steps in advance. It is thus technically a *future covariate*.\n",
    "\n",
    "## Generating Fake Data\n",
    "\n",
    "We start by generating some fake (toy) data to create a problem instance. We'll use daily time steps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "07299d98",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from darts.utils import timeseries_generation as tg\n",
    "\n",
    "np.random.seed(42)\n",
    "\n",
    "LENGTH = 3 * 365  # 3 years of daily data\n",
    "\n",
    "# Melting: a sine with yearly periodicity and additive white noise\n",
    "melting = (0.9 * tg.sine_timeseries(length=LENGTH, value_frequency=(1/365), \n",
    "                              freq='D', \n",
    "                              column_name='melting')\n",
    "           + 0.1 * tg.gaussian_timeseries(length=LENGTH, freq='D'))\n",
    "\n",
    "# Rainfalls: a sine with bi-weekly periodicity and additive white noise\n",
    "rainfalls = (0.5 * tg.sine_timeseries(length=LENGTH, \n",
    "                                value_frequency=(1/14), \n",
    "                                freq='D', \n",
    "                                column_name='rainfall')\n",
    "             + 0.5 * tg.gaussian_timeseries(length=LENGTH, freq='D'))\n",
    "\n",
    "# We shift the melting by 5 days\n",
    "melting_contribution = 0.5 * melting.shift(5)\n",
    "\n",
    "# We compute similar contribution from the rainfalls\n",
    "all_contributions = [melting_contribution] + [0.1 * rainfalls.shift(lag) for lag in range(5)]\n",
    "\n",
    "# We compute the final flow as the sum of everything; trimming series so they\n",
    "# all have the same start time\n",
    "flow = sum([series[melting_contribution.start_time():][:melting.end_time()]\n",
    "            for series in all_contributions]).with_columns_renamed('melting', 'flow')\n",
    "\n",
    "# add some white noise\n",
    "flow += 0.1 * tg.gaussian_timeseries(length=len(flow))\n",
    "\n",
    "plt.figure(figsize=(12,5))\n",
    "melting.plot()\n",
    "rainfalls.plot()\n",
    "flow.plot(lw=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f2b5753",
   "metadata": {},
   "source": [
    "### A Function to Evaluate Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "960fa61e",
   "metadata": {},
   "outputs": [],
   "source": [
    "from darts.metrics import rmse\n",
    "\n",
    "# We first set aside the first 80% as training series:\n",
    "flow_train, _ = flow.split_before(0.8)\n",
    "\n",
    "def eval_model(model, past_covariates=None, future_covariates=None):\n",
    "    # Past and future covariates are optional because they won't always be used in our tests\n",
    "    \n",
    "    # We backtest the model on the last 20% of the flow series, with a horizon of 10 steps:\n",
    "    backtest = model.historical_forecasts(series=flow, \n",
    "                                          past_covariates=past_covariates,\n",
    "                                          future_covariates=future_covariates,\n",
    "                                          start=0.8, \n",
    "                                          retrain=False,\n",
    "                                          verbose=True, \n",
    "                                          forecast_horizon=10)\n",
    "    \n",
    "    flow[-len(backtest)-100:].plot()\n",
    "    backtest.plot(label='backtest (n=10)')\n",
    "    print('Backtest RMSE = {}'.format(rmse(flow, backtest)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42e9d144",
   "metadata": {},
   "source": [
    "### Using no covariates\n",
    "Let's build a first model that does not use covariates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a08c5b1b",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[2021-08-11 14:50:31,203] INFO | darts.models.torch_forecasting_model | Train dataset contains 832 samples.\n",
      "[2021-08-11 14:50:31,203] INFO | darts.models.torch_forecasting_model | Train dataset contains 832 samples.\n",
      "[2021-08-11 14:50:31,209] INFO | darts.models.torch_forecasting_model | Time series values are 64-bits; casting model to float64. If training is too slow you can try casting your data to 32-bits.\n",
      "[2021-08-11 14:50:31,209] INFO | darts.models.torch_forecasting_model | Time series values are 64-bits; casting model to float64. If training is too slow you can try casting your data to 32-bits.\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "550e6a33a7324c789c15780c2930e3a6",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/100 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training loss: 0.0320\r"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d21a4107cd5a4baca705729e43fad8b0",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/210 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backtest RMSE = 0.19372643864146752\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from darts.models import BlockRNNModel\n",
    "\n",
    "brnn_no_cov = BlockRNNModel(input_chunk_length=30, \n",
    "                            output_chunk_length=10, \n",
    "                            n_rnn_layers=2)\n",
    "\n",
    "brnn_no_cov.fit(flow_train, \n",
    "                epochs=100, \n",
    "                verbose=True)\n",
    "\n",
    "eval_model(brnn_no_cov)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e167bcd",
   "metadata": {},
   "source": [
    "### Using Past covariates\n",
    "Here we are free to use both melting and rainfalls, because both are known in the past at prediction time.\n",
    "\n",
    "**Using only melting**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e9924f70",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[2021-08-11 14:50:52,277] INFO | darts.models.torch_forecasting_model | Train dataset contains 832 samples.\n",
      "[2021-08-11 14:50:52,277] INFO | darts.models.torch_forecasting_model | Train dataset contains 832 samples.\n",
      "[2021-08-11 14:50:52,282] INFO | darts.models.torch_forecasting_model | Time series values are 64-bits; casting model to float64. If training is too slow you can try casting your data to 32-bits.\n",
      "[2021-08-11 14:50:52,282] INFO | darts.models.torch_forecasting_model | Time series values are 64-bits; casting model to float64. If training is too slow you can try casting your data to 32-bits.\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b5b2423727804fc7b0ac9e49523f01a7",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/100 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training loss: 0.0244\r"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3f1ad66af79b426e976f82170d66da4f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/210 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backtest RMSE = 0.1719450990438483\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "brnn_melting = BlockRNNModel(input_chunk_length=30, \n",
    "                             output_chunk_length=10, \n",
    "                             n_rnn_layers=2)\n",
    "\n",
    "brnn_melting.fit(flow_train, \n",
    "                 past_covariates=melting, \n",
    "                 epochs=100, \n",
    "                 verbose=True)\n",
    "\n",
    "eval_model(brnn_melting, \n",
    "           past_covariates=melting)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77413a2b",
   "metadata": {},
   "source": [
    "**With both melting and (past) rainfalls**\n",
    "\n",
    "Here we can also use rainfalls. It helps but not drastically, because the model is only able to look at *past* rainfalls (before prediction time), but not at rainfalls during the 10 days' forecast horizon."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c8fd067d",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[2021-08-11 14:51:26,522] INFO | darts.models.torch_forecasting_model | Train dataset contains 832 samples.\n",
      "[2021-08-11 14:51:26,522] INFO | darts.models.torch_forecasting_model | Train dataset contains 832 samples.\n",
      "[2021-08-11 14:51:26,527] INFO | darts.models.torch_forecasting_model | Time series values are 64-bits; casting model to float64. If training is too slow you can try casting your data to 32-bits.\n",
      "[2021-08-11 14:51:26,527] INFO | darts.models.torch_forecasting_model | Time series values are 64-bits; casting model to float64. If training is too slow you can try casting your data to 32-bits.\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c4f7b0eb84104674a42ddd748155deb3",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/100 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training loss: 0.0223\r"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0f8c1dabf1084208a889c83dceade82e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/210 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backtest RMSE = 0.16862320675180045\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "brnn_melting_and_rain = BlockRNNModel(input_chunk_length=30, \n",
    "                                      output_chunk_length=10, \n",
    "                                      n_rnn_layers=2)\n",
    "\n",
    "brnn_melting_and_rain.fit(flow_train, \n",
    "                          past_covariates=melting.stack(rainfalls), \n",
    "                          epochs=100, \n",
    "                          verbose=True)\n",
    "\n",
    "eval_model(brnn_melting_and_rain, \n",
    "           past_covariates=melting.stack(rainfalls))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3402e057",
   "metadata": {},
   "source": [
    "### RNNModel with future covariates (rainfall):\n",
    "This one will be able to factor in the knowledge of future rainfalls:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5e51e001",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[2021-08-11 14:52:00,959] INFO | darts.models.torch_forecasting_model | Train dataset contains 831 samples.\n",
      "[2021-08-11 14:52:00,959] INFO | darts.models.torch_forecasting_model | Train dataset contains 831 samples.\n",
      "[2021-08-11 14:52:00,963] INFO | darts.models.torch_forecasting_model | Time series values are 64-bits; casting model to float64. If training is too slow you can try casting your data to 32-bits.\n",
      "[2021-08-11 14:52:00,963] INFO | darts.models.torch_forecasting_model | Time series values are 64-bits; casting model to float64. If training is too slow you can try casting your data to 32-bits.\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "9e945785c6db4b16a417153daef08c74",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/100 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training loss: 0.0126\r"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0f423c01ffc742b0a8670ccea88cb66c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/210 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backtest RMSE = 0.15792175685140056\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from darts.models import RNNModel\n",
    "\n",
    "rnn_rain = RNNModel(input_chunk_length=30, \n",
    "                    training_length=40, \n",
    "                    n_rnn_layers=2)\n",
    "\n",
    "rnn_rain.fit(flow_train, \n",
    "             future_covariates=rainfalls, \n",
    "             epochs=100, \n",
    "             verbose=True)\n",
    "\n",
    "eval_model(rnn_rain, \n",
    "           future_covariates=rainfalls)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d65bd2be",
   "metadata": {},
   "source": [
    "### (Validation) Now, assume we also know the melting in advance\n",
    "This is cheating, because at forecast time we don't know the melting. But it's a good sanity check to see that in this case the model can pick it up almost perfectly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7e763a38",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[2021-08-11 14:52:59,660] INFO | darts.models.torch_forecasting_model | Train dataset contains 831 samples.\n",
      "[2021-08-11 14:52:59,660] INFO | darts.models.torch_forecasting_model | Train dataset contains 831 samples.\n",
      "[2021-08-11 14:52:59,667] INFO | darts.models.torch_forecasting_model | Time series values are 64-bits; casting model to float64. If training is too slow you can try casting your data to 32-bits.\n",
      "[2021-08-11 14:52:59,667] INFO | darts.models.torch_forecasting_model | Time series values are 64-bits; casting model to float64. If training is too slow you can try casting your data to 32-bits.\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ef56c8f641674f308ec3e71c7c000f54",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/100 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training loss: 0.0102\r"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b1df2dc8fde14ee392be98621e8ddcda",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/210 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backtest RMSE = 0.10550101998974844\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "rnn_melting_and_rain = RNNModel(input_chunk_length=30, \n",
    "                                training_length=40, \n",
    "                                n_rnn_layers=2)\n",
    "\n",
    "rnn_melting_and_rain.fit(flow_train, \n",
    "                         future_covariates=melting.stack(rainfalls), \n",
    "                         epochs=100, \n",
    "                         verbose=True)\n",
    "\n",
    "eval_model(rnn_melting_and_rain, \n",
    "           future_covariates=melting.stack(rainfalls))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c3ab9010",
   "metadata": {},
   "source": [
    "## Using Both Past and Future Covariates\n",
    "Darts `RegressionModel`s (including `LinearRegressionModel` and `RandomForest`) allow to specify both `past_covariates` and `future_covariates`. Furthermore, we can specify arbitrary lags for both past and future covariates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "12c7dd61",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4e3ab6a603f64e20b4a0e3b7612f1c65",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/210 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backtest RMSE = 0.10188444268858336\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from darts.models import RegressionModel\n",
    "\n",
    "regr_model = RegressionModel(lags=None,\n",
    "                             lags_past_covariates=[-5, -4, -3, -2, -1], \n",
    "                             lags_future_covariates=[-4, -3, -2, -1, 0])\n",
    "\n",
    "regr_model.fit(flow_train,\n",
    "               past_covariates=melting,\n",
    "               future_covariates=rainfalls)\n",
    "\n",
    "eval_model(regr_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2184806a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
